274979628225 has 135 divisors (see below), whose sum is σ = 523409697459. Its totient is φ = 142716621600.

The previous prime is 274979628167. The next prime is 274979628307. The reversal of 274979628225 is 522826979472.

The square root of 274979628225 is 524385.

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

274979628225 is a `hidden beast` number, since 2 + 7 + 497 + 9 + 62 + 82 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98992666161 + 175986962064 = 314631^2 + 419508^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 274979628225 - 2¹³ = 274979620033 is a prime.

It is a super-2 number, since 2×274979628225² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1014684840 + ... + 1014685110.

Almost surely, 2^274979628225 is an apocalyptic number.

274979628225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

274979628225 is the 524385-th square number.

274979628225 is the 262193-rd centered octagonal number.

It is an amenable number.

274979628225 is a deficient number, since it is larger than the sum of its proper divisors (248430069234).

274979628225 is an frugal number, since it uses more digits than its factorization.

274979628225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 322 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 274979628225 in words is "two hundred seventy-four billion, nine hundred seventy-nine million, six hundred twenty-eight thousand, two hundred twenty-five".