513223425 has 144 divisors (see below), whose sum is σ = 1116446400. Its totient is φ = 229132800.

The previous prime is 513223397. The next prime is 513223427. The reversal of 513223425 is 524322315.

It is a happy number.

513223425 is a `hidden beast` number, since 5 + 13 + 223 + 425 = 666.

It is not a de Polignac number, because 513223425 - 2⁵ = 513223393 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (513223427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1254621 + ... + 1255029.

It is an arithmetic number, because the mean of its divisors is an integer number (7753100).

Almost surely, 2^513223425 is an apocalyptic number.

513223425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513223425 is an abundant number, since it is smaller than the sum of its proper divisors (603222975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513223425 is a wasteful number, since it uses less digits than its factorization.

513223425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 441 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 513223425 is about 22654.4349962651. The cubic root of 513223425 is about 800.6366936629.

The spelling of 513223425 in words is "five hundred thirteen million, two hundred twenty-three thousand, four hundred twenty-five".