1007506313 has 16 divisors (see below), whose sum is σ = 1139650560. Its totient is φ = 882268800.

The previous prime is 1007506307. The next prime is 1007506327. The reversal of 1007506313 is 3136057001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1007506313 - 2⁶ = 1007506249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1007506393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142328 + ... + 149238.

It is an arithmetic number, because the mean of its divisors is an integer number (71228160).

Almost surely, 2^1007506313 is an apocalyptic number.

It is an amenable number.

1007506313 is a deficient number, since it is larger than the sum of its proper divisors (132144247).

1007506313 is a wasteful number, since it uses less digits than its factorization.

1007506313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 1007506313 is about 31741.2399411239. The cubic root of 1007506313 is about 1002.4958697848.

The spelling of 1007506313 in words is "one billion, seven million, five hundred six thousand, three hundred thirteen".