1607256661005 has 24 divisors (see below), whose sum is σ = 2785963209120. Its totient is φ = 857187656160.

The previous prime is 1607256660967. The next prime is 1607256661009. The reversal of 1607256661005 is 5001666527061.

It is not a de Polignac number, because 1607256661005 - 2¹⁷ = 1607256529933 is a prime.

It is a super-4 number, since 4×1607256661005⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1607256661009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2363290 + ... + 2966420.

It is an arithmetic number, because the mean of its divisors is an integer number (116081800380).

Almost surely, 2^{1607256661005} is an apocalyptic number.

1607256661005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1607256661005 is a deficient number, since it is larger than the sum of its proper divisors (1178706548115).

1607256661005 is a wasteful number, since it uses less digits than its factorization.

1607256661005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662361 (or 662358 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1607256661005 in words is "one trillion, six hundred seven billion, two hundred fifty-six million, six hundred sixty-one thousand, five".