49691291132025 has 135 divisors (see below), whose sum is σ = 94261696184799. Its totient is φ = 25878590246880.

The previous prime is 49691291132011. The next prime is 49691291132071. The reversal of 49691291132025 is 52023119219694.

The square root of 49691291132025 is 7049205.

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

49691291132025 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 1 + 291 + 1 + 320 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17888864807529 + 31802426324496 = 4229523^2 + 5639364^2 .

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

It is not a de Polignac number, because 49691291132025 - 2⁹ = 49691291131513 is a prime.

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, 13640209854 + ... + 13640213496.

Almost surely, 2^{49691291132025} is an apocalyptic number.

49691291132025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49691291132025 is the 7049205-th square number.

49691291132025 is the 3524603-rd centered octagonal number.

It is an amenable number.

49691291132025 is a deficient number, since it is larger than the sum of its proper divisors (44570405052774).

49691291132025 is an frugal number, since it uses more digits than its factorization.

49691291132025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 49691291132025 in words is "forty-nine trillion, six hundred ninety-one billion, two hundred ninety-one million, one hundred thirty-two thousand, twenty-five".