1006526412375 has 128 divisors (see below), whose sum is σ = 1841419008000. Its totient is φ = 484209536000.

The previous prime is 1006526412371. The next prime is 1006526412379. The reversal of 1006526412375 is 5732146256001.

It is an interprime number because it is at equal distance from previous prime (1006526412371) and next prime (1006526412379).

It is not a de Polignac number, because 1006526412375 - 2² = 1006526412371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006526412371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291829651 + ... + 291833099.

It is an arithmetic number, because the mean of its divisors is an integer number (14386086000).

Almost surely, 2^{1006526412375} is an apocalyptic number.

1006526412375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1006526412375 is a deficient number, since it is larger than the sum of its proper divisors (834892595625).

1006526412375 is a wasteful number, since it uses less digits than its factorization.

1006526412375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 1006526412375 in words is "one trillion, six billion, five hundred twenty-six million, four hundred twelve thousand, three hundred seventy-five".