461441697025 has 9 divisors (see below), whose sum is σ = 572191915971. Its totient is φ = 369150640440.

The previous prime is 461441696977. The next prime is 461441697043. The reversal of 461441697025 is 520796144164.

The square root of 461441697025 is 679295.

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., 166119010929 + 295322686096 = 407577^2 + 543436^2 .

It is not a de Polignac number, because 461441697025 - 2¹³ = 461441688833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 461441697025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3328546 + ... + 3464404.

Almost surely, 2^461441697025 is an apocalyptic number.

461441697025 is the 679295-th square number.

461441697025 is the 339648-th centered octagonal number.

It is an amenable number.

461441697025 is a deficient number, since it is larger than the sum of its proper divisors (110750218946).

461441697025 is an frugal number, since it uses more digits than its factorization.

461441697025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271728 (or 135864 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 461441697025 by its sum of digits (49), we get a square (22610643154225 = 4755065²).

The spelling of 461441697025 in words is "four hundred sixty-one billion, four hundred forty-one million, six hundred ninety-seven thousand, twenty-five".