1007405253 has 12 divisors (see below), whose sum is σ = 1494469548. Its totient is φ = 653451840.

The previous prime is 1007405249. The next prime is 1007405257. The reversal of 1007405253 is 3525047001.

It is a happy number.

1007405253 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 405 + 253 = 666.

It is an interprime number because it is at equal distance from previous prime (1007405249) and next prime (1007405257).

It can be written as a sum of positive squares in 2 ways, for example, as 468376164 + 539029089 = 21642^2 + 23217^2 .

It is not a de Polignac number, because 1007405253 - 2² = 1007405249 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007405257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1512288 + ... + 1512953.

It is an arithmetic number, because the mean of its divisors is an integer number (124539129).

Almost surely, 2^1007405253 is an apocalyptic number.

It is an amenable number.

1007405253 is a deficient number, since it is larger than the sum of its proper divisors (487064295).

1007405253 is a wasteful number, since it uses less digits than its factorization.

1007405253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025284 (or 3025281 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1007405253 is about 31739.6479659117. The cubic root of 1007405253 is about 1002.4623495249.

The spelling of 1007405253 in words is "one billion, seven million, four hundred five thousand, two hundred fifty-three".