29276921025 has 243 divisors, whose sum is σ = 62248860219. Its totient is φ = 13140864000.

The previous prime is 29276920997. The next prime is 29276921027. The reversal of 29276921025 is 52012967292.

The square root of 29276921025 is 171105.

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

It can be written as a sum of positive squares in 13 ways, for example, as 26114883201 + 3162037824 = 161601^2 + 56232^2 .

It is not a de Polignac number, because 29276921025 - 2⁵ = 29276920993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29276921027) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 479949495 + ... + 479949555.

Almost surely, 2^29276921025 is an apocalyptic number.

29276921025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29276921025 is the 171105-th square number.

29276921025 is the 85553-rd centered octagonal number.

It is an amenable number.

29276921025 is an abundant number, since it is smaller than the sum of its proper divisors (32971939194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29276921025 is a wasteful number, since it uses less digits than its factorization.

29276921025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 29276921025 in words is "twenty-nine billion, two hundred seventy-six million, nine hundred twenty-one thousand, twenty-five".