513752401 has 2 divisors, whose sum is σ = 513752402. Its totient is φ = 513752400.

The previous prime is 513752399. The next prime is 513752417. The reversal of 513752401 is 104257315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 513702225 + 50176 = 22665^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 513752401 - 2¹ = 513752399 is a prime.

Together with 513752399, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 513752401.

It is not a weakly prime, because it can be changed into another prime (513752101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256876200 + 256876201.

It is an arithmetic number, because the mean of its divisors is an integer number (256876201).

Almost surely, 2^513752401 is an apocalyptic number.

It is an amenable number.

513752401 is a deficient number, since it is larger than the sum of its proper divisors (1).

513752401 is an equidigital number, since it uses as much as digits as its factorization.

513752401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 513752401 is about 22666.1068778915. The cubic root of 513752401 is about 800.9116695328.

The spelling of 513752401 in words is "five hundred thirteen million, seven hundred fifty-two thousand, four hundred one".