29571961225 has 27 divisors (see below), whose sum is σ = 37071265959. Its totient is φ = 23400997200.

The previous prime is 29571961169. The next prime is 29571961241. The reversal of 29571961225 is 52216917592.

The square root of 29571961225 is 171965.

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., 10645906041 + 18926055184 = 103179^2 + 137572^2 .

It is not a de Polignac number, because 29571961225 - 2⁹ = 29571960713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 140151370 + ... + 140151580.

Almost surely, 2^29571961225 is an apocalyptic number.

29571961225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29571961225 is the 171965-th square number.

29571961225 is the 85983-rd centered octagonal number.

It is an amenable number.

29571961225 is a deficient number, since it is larger than the sum of its proper divisors (7499304734).

29571961225 is an frugal number, since it uses more digits than its factorization.

29571961225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 379 counting only the distinct ones).

The product of its digits is 680400, while the sum is 49.

Multiplying 29571961225 by its sum of digits (49), we get a square (1449026100025 = 1203755²).

The spelling of 29571961225 in words is "twenty-nine billion, five hundred seventy-one million, nine hundred sixty-one thousand, two hundred twenty-five".