410951513025 has 27 divisors (see below), whose sum is σ = 736077044521. Its totient is φ = 219169011840.

The previous prime is 410951513017. The next prime is 410951513069. The reversal of 410951513025 is 520315159014.

It is a happy number.

The square root of 410951513025 is 641055.

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

410951513025 is a `hidden beast` number, since 4 + 1 + 0 + 9 + 515 + 130 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3688011441 + 407263501584 = 60729^2 + 638172^2 .

It is not a de Polignac number, because 410951513025 - 2³ = 410951513017 is a prime.

It is a super-2 number, since 2×410951513025² (a number of 24 digits) contains 22 as substring.

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, 9594457 + ... + 9637193.

Almost surely, 2^410951513025 is an apocalyptic number.

410951513025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

410951513025 is the 641055-th square number.

410951513025 is the 320528-th centered octagonal number.

It is an amenable number.

410951513025 is a deficient number, since it is larger than the sum of its proper divisors (325125531496).

410951513025 is an frugal number, since it uses more digits than its factorization.

410951513025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85490 (or 42745 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Multiplying 410951513025 by its sum of digits (36), we get a square (14794254468900 = 3846330²).

The spelling of 410951513025 in words is "four hundred ten billion, nine hundred fifty-one million, five hundred thirteen thousand, twenty-five".