513001457 has 2 divisors, whose sum is σ = 513001458. Its totient is φ = 513001456.

The previous prime is 513001373. The next prime is 513001477. The reversal of 513001457 is 754100315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337677376 + 175324081 = 18376^2 + 13241^2 .

It is a cyclic number.

It is not a de Polignac number, because 513001457 - 2¹⁸ = 512739313 is a prime.

It is a Chen prime.

It is equal to p_27003725 and since 513001457 and 27003725 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (513001477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256500728 + 256500729.

It is an arithmetic number, because the mean of its divisors is an integer number (256500729).

Almost surely, 2^513001457 is an apocalyptic number.

It is an amenable number.

513001457 is a deficient number, since it is larger than the sum of its proper divisors (1).

513001457 is an equidigital number, since it uses as much as digits as its factorization.

513001457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 513001457 is about 22649.5354698501. The cubic root of 513001457 is about 800.5212524835.

The spelling of 513001457 in words is "five hundred thirteen million, one thousand, four hundred fifty-seven".