451011257 has 2 divisors, whose sum is σ = 451011258. Its totient is φ = 451011256.

The previous prime is 451011217. The next prime is 451011259. The reversal of 451011257 is 752110154.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 446730496 + 4280761 = 21136^2 + 2069^2 .

It is a cyclic number.

It is not a de Polignac number, because 451011257 - 2¹⁶ = 450945721 is a prime.

It is a super-2 number, since 2×451011257² = 406822307881440098, which contains 22 as substring.

Together with 451011259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (451011259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 225505628 + 225505629.

It is an arithmetic number, because the mean of its divisors is an integer number (225505629).

Almost surely, 2^451011257 is an apocalyptic number.

It is an amenable number.

451011257 is a deficient number, since it is larger than the sum of its proper divisors (1).

451011257 is an equidigital number, since it uses as much as digits as its factorization.

451011257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 451011257 is about 21237.0256156553. The cubic root of 451011257 is about 766.8830294402.

The spelling of 451011257 in words is "four hundred fifty-one million, eleven thousand, two hundred fifty-seven".