513245532000 has 192 divisors, whose sum is σ = 1681906996224. Its totient is φ = 136823590400.

The previous prime is 513245531989. The next prime is 513245532001. The reversal of 513245532000 is 235542315.

It is a super-2 number, since 2×513245532000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513245532001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75440599 + ... + 75447401.

It is an arithmetic number, because the mean of its divisors is an integer number (8759932272).

Almost surely, 2^513245532000 is an apocalyptic number.

513245532000 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 513245532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840953498112).

513245532000 is an abundant number, since it is smaller than the sum of its proper divisors (1168661464224).

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

513245532000 is a wasteful number, since it uses less digits than its factorization.

513245532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13118 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 513245532000 in words is "five hundred thirteen billion, two hundred forty-five million, five hundred thirty-two thousand".