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1352400625 = 5414712
BaseRepresentation
bin101000010011011…
…1111111011110001
310111020210001220001
41100212333323301
510232203310000
6342110350001
745341133652
oct12046777361
93436701801
101352400625
11634438674
12318abb301
13187253c74
14cb881529
157dae146a
hex509bfef1

1352400625 has 15 divisors (see below), whose sum is σ = 1691109453. Its totient is φ = 1081185000.

The previous prime is 1352400593. The next prime is 1352400631. The reversal of 1352400625 is 5260042531.

The square root of 1352400625 is 36775.

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

It can be written as a sum of positive squares in 2 ways, for example, as 106028209 + 1246372416 = 10297^2 + 35304^2 .

It is not a de Polignac number, because 1352400625 - 25 = 1352400593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1352400593 and 1352400602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 918640 + ... + 920110.

Almost surely, 21352400625 is an apocalyptic number.

1352400625 is the 36775-th square number.

1352400625 is the 18388-th centered octagonal number.

It is an amenable number.

1352400625 is a deficient number, since it is larger than the sum of its proper divisors (338708828).

1352400625 is an frugal number, since it uses more digits than its factorization.

1352400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The cubic root of 1352400625 is about 1105.8641711513.

The spelling of 1352400625 in words is "one billion, three hundred fifty-two million, four hundred thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 1471 7355 36775 183875 919375 2163841 10819205 54096025 270480125 1352400625