10077635451 has 24 divisors (see below), whose sum is σ = 14713507440. Its totient is φ = 6131913216.

The previous prime is 10077635443. The next prime is 10077635497. The reversal of 10077635451 is 15453677001.

10077635451 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10077635451 - 2³ = 10077635443 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10077635431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66546 + ... + 156791.

It is an arithmetic number, because the mean of its divisors is an integer number (613062810).

Almost surely, 2^10077635451 is an apocalyptic number.

10077635451 is a deficient number, since it is larger than the sum of its proper divisors (4635871989).

10077635451 is a wasteful number, since it uses less digits than its factorization.

10077635451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223455 (or 223442 counting only the distinct ones).

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

The spelling of 10077635451 in words is "ten billion, seventy-seven million, six hundred thirty-five thousand, four hundred fifty-one".