1007626433551 has 8 divisors (see below), whose sum is σ = 1054612831104. Its totient is φ = 960904748760.

The previous prime is 1007626433519. The next prime is 1007626433609. The reversal of 1007626433551 is 1553346267001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007626433551 - 2⁵ = 1007626433519 is a prime.

It is a super-2 number, since 2×1007626433551² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1007626433498 and 1007626433507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007626433351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66170401 + ... + 66185626.

It is an arithmetic number, because the mean of its divisors is an integer number (131826603888).

Almost surely, 2^{1007626433551} is an apocalyptic number.

1007626433551 is a deficient number, since it is larger than the sum of its proper divisors (46986397553).

1007626433551 is a wasteful number, since it uses less digits than its factorization.

1007626433551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132356381.

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 1007626433551 in words is "one trillion, seven billion, six hundred twenty-six million, four hundred thirty-three thousand, five hundred fifty-one".