513466131545400 has 192 divisors, whose sum is σ = 1736544390652800. Its totient is φ = 124469807040000.

The previous prime is 513466131545387. The next prime is 513466131545461. The reversal of 513466131545400 is 4545131664315.

It is a super-2 number, since 2×513466131545400² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513466131545400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118661091 + ... + 122912109.

It is an arithmetic number, because the mean of its divisors is an integer number (9044502034650).

Almost surely, 2^{513466131545400} is an apocalyptic number.

513466131545400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513466131545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868272195326400).

513466131545400 is an abundant number, since it is smaller than the sum of its proper divisors (1223078259107400).

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

513466131545400 is a wasteful number, since it uses less digits than its factorization.

513466131545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269350 (or 4269341 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 513466131545400 in words is "five hundred thirteen trillion, four hundred sixty-six billion, one hundred thirty-one million, five hundred forty-five thousand, four hundred".