513255400 has 144 divisors (see below), whose sum is σ = 1407097440. Its totient is φ = 173577600.

The previous prime is 513255377. The next prime is 513255433. The reversal of 513255400 is 4552315.

It is a super-2 number, since 2×513255400² = 526862211258320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 813085 + ... + 813715.

It is an arithmetic number, because the mean of its divisors is an integer number (9771510).

Almost surely, 2^513255400 is an apocalyptic number.

513255400 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 513255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703548720).

513255400 is an abundant number, since it is smaller than the sum of its proper divisors (893842040).

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

513255400 is a wasteful number, since it uses less digits than its factorization.

513255400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 513255400 is about 22655.1406969809. The cubic root of 513255400 is about 800.6533204869.

The spelling of 513255400 in words is "five hundred thirteen million, two hundred fifty-five thousand, four hundred".