29503215225 has 135 divisors (see below), whose sum is σ = 60243614431. Its totient is φ = 14263365600.

The previous prime is 29503215193. The next prime is 29503215241. The reversal of 29503215225 is 52251230592.

The square root of 29503215225 is 171765.

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., 10621157481 + 18882057744 = 103059^2 + 137412^2 .

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

It is not a de Polignac number, because 29503215225 - 2⁵ = 29503215193 is a prime.

It is a super-2 number, since 2×29503215225² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29503215225.

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, 85023502 + ... + 85023848.

Almost surely, 2^29503215225 is an apocalyptic number.

29503215225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29503215225 is the 171765-th square number.

29503215225 is the 85883-rd centered octagonal number.

It is an amenable number.

29503215225 is an abundant number, since it is smaller than the sum of its proper divisors (30740399206).

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

29503215225 is an equidigital number, since it uses as much as digits as its factorization.

29503215225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 29503215225 by its sum of digits (36), we get a square (1062115748100 = 1030590²).

The spelling of 29503215225 in words is "twenty-nine billion, five hundred three million, two hundred fifteen thousand, two hundred twenty-five".