513604550400 has 108 divisors (see below), whose sum is σ = 1695002080632. Its totient is φ = 136961208320.

The previous prime is 513604550399. The next prime is 513604550551. The reversal of 513604550400 is 4055406315.

It is a super-2 number, since 2×513604550400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13355919 + ... + 13394318.

Almost surely, 2^513604550400 is an apocalyptic number.

513604550400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513604550400 is an abundant number, since it is smaller than the sum of its proper divisors (1181397530232).

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

513604550400 is a wasteful number, since it uses less digits than its factorization.

513604550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26750266 (or 26750247 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 513604550400 its reverse (4055406315), we get a palindrome (517659956715).

The spelling of 513604550400 in words is "five hundred thirteen billion, six hundred four million, five hundred fifty thousand, four hundred".