513395400 has 192 divisors, whose sum is σ = 1829882880. Its totient is φ = 116640000.

The previous prime is 513395357. The next prime is 513395411. The reversal of 513395400 is 4593315.

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

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, 1053957 + ... + 1054443.

It is an arithmetic number, because the mean of its divisors is an integer number (9530640).

Almost surely, 2^513395400 is an apocalyptic number.

513395400 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 513395400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914941440).

513395400 is an abundant number, since it is smaller than the sum of its proper divisors (1316487480).

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

513395400 is a wasteful number, since it uses less digits than its factorization.

513395400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 513395400 is about 22658.2302927656. The cubic root of 513395400 is about 800.7261115864.

The spelling of 513395400 in words is "five hundred thirteen million, three hundred ninety-five thousand, four hundred".