3496507311025 has 81 divisors (see below), whose sum is σ = 4532978126691. Its totient is φ = 2675415847680.

The previous prime is 3496507311013. The next prime is 3496507311029. The reversal of 3496507311025 is 5201137056943.

The square root of 3496507311025 is 1869895.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1304070357681 + 2192436953344 = 1141959^2 + 1480688^2 .

It is not a de Polignac number, because 3496507311025 - 2¹³ = 3496507302833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3496507311029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32078048671 + ... + 32078048779.

Almost surely, 2^{3496507311025} is an apocalyptic number.

3496507311025 is the 1869895-th square number.

3496507311025 is the 934948-th centered octagonal number.

It is an amenable number.

3496507311025 is a deficient number, since it is larger than the sum of its proper divisors (1036470815666).

3496507311025 is an frugal number, since it uses more digits than its factorization.

3496507311025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 3496507311025 in words is "three trillion, four hundred ninety-six billion, five hundred seven million, three hundred eleven thousand, twenty-five".