1007625312507 has 16 divisors (see below), whose sum is σ = 1466338515840. Its totient is φ = 610389633600.

The previous prime is 1007625312479. The next prime is 1007625312517. The reversal of 1007625312507 is 7052135267001.

It is a happy number.

It is not a de Polignac number, because 1007625312507 - 2¹¹ = 1007625310459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007625312517) 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, 7239369 + ... + 7377242.

It is an arithmetic number, because the mean of its divisors is an integer number (91646157240).

Almost surely, 2^{1007625312507} is an apocalyptic number.

1007625312507 is a deficient number, since it is larger than the sum of its proper divisors (458713203333).

1007625312507 is a wasteful number, since it uses less digits than its factorization.

1007625312507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14618714.

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 1007625312507 in words is "one trillion, seven billion, six hundred twenty-five million, three hundred twelve thousand, five hundred seven".