30790679634225 has 243 divisors, whose sum is σ = 65733657466113. Its totient is φ = 13737209834880.

The previous prime is 30790679634223. The next prime is 30790679634277. The reversal of 30790679634225 is 52243697609703.

The square root of 30790679634225 is 5548935.

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

30790679634225 is a `hidden beast` number, since 3 + 0 + 7 + 90 + 67 + 9 + 63 + 422 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7851254436081 + 22939425198144 = 2802009^2 + 4789512^2 .

It is not a de Polignac number, because 30790679634225 - 2¹ = 30790679634223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (30790679634223) 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, 25053440911 + ... + 25053442139.

Almost surely, 2^{30790679634225} is an apocalyptic number.

30790679634225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30790679634225 is the 5548935-th square number.

30790679634225 is the 2774468-th centered octagonal number.

It is an amenable number.

30790679634225 is an abundant number, since it is smaller than the sum of its proper divisors (34942977831888).

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

30790679634225 is an equidigital number, since it uses as much as digits as its factorization.

30790679634225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 30790679634225 in words is "thirty trillion, seven hundred ninety billion, six hundred seventy-nine million, six hundred thirty-four thousand, two hundred twenty-five".