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625550121 = 34723972
BaseRepresentation
bin100101010010010…
…010001100101001
31121121002020110000
4211102102030221
52240120100441
6142023413213
721334042200
oct4522221451
91547066400
10625550121
112a111a079
121555b4209
139c7a3301
145d118237
1539db82b6
hex25492329

625550121 has 45 divisors (see below), whose sum is σ = 1089774279. Its totient is φ = 356556816.

The previous prime is 625550089. The next prime is 625550143. The reversal of 625550121 is 121055526.

The square root of 625550121 is 25011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 419225625 + 206324496 = 20475^2 + 14364^2 .

It is not a de Polignac number, because 625550121 - 25 = 625550089 is a prime.

It is a super-2 number, since 2×6255501212 = 782625907766229282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (625550171) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1575495 + ... + 1575891.

Almost surely, 2625550121 is an apocalyptic number.

625550121 is the 25011-st square number.

625550121 is the 12506-th centered octagonal number.

It is an amenable number.

625550121 is a deficient number, since it is larger than the sum of its proper divisors (464224158).

625550121 is an frugal number, since it uses more digits than its factorization.

625550121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The cubic root of 625550121 is about 855.2387514224.

The spelling of 625550121 in words is "six hundred twenty-five million, five hundred fifty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 397 441 567 1191 1323 2779 3573 3969 8337 10719 19453 25011 32157 58359 75033 157609 175077 225099 472827 525231 1103263 1418481 1575693 3309789 4255443 7722841 9929367 12766329 23168523 29788101 69505569 89364303 208516707 625550121