3267761213025 has 225 divisors, whose sum is σ = 6477934242351. Its totient is φ = 1628487348480.

The previous prime is 3267761212981. The next prime is 3267761213027. The reversal of 3267761213025 is 5203121677623.

The square root of 3267761213025 is 1807695.

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

3267761213025 is a `hidden beast` number, since 3 + 2 + 6 + 7 + 7 + 612 + 1 + 3 + 0 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 356083112529 + 2911678100496 = 596727^2 + 1706364^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 3267761213025 - 2²⁹ = 3267224342113 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 (3267761213027) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 23509073406 + ... + 23509073544.

Almost surely, 2^{3267761213025} is an apocalyptic number.

3267761213025 is the 1807695-th square number.

3267761213025 is the 903848-th centered octagonal number.

It is an amenable number.

3267761213025 is a deficient number, since it is larger than the sum of its proper divisors (3210173029326).

3267761213025 is an frugal number, since it uses more digits than its factorization.

3267761213025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3267761213025 in words is "three trillion, two hundred sixty-seven billion, seven hundred sixty-one million, two hundred thirteen thousand, twenty-five".