1006501671620 has 48 divisors (see below), whose sum is σ = 2118769379328. Its totient is φ = 401626632960.

The previous prime is 1006501671599. The next prime is 1006501671641. The reversal of 1006501671620 is 261761056001.

It is an interprime number because it is at equal distance from previous prime (1006501671599) and next prime (1006501671641).

It is a super-2 number, since 2×1006501671620² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50287415 + ... + 50307425.

It is an arithmetic number, because the mean of its divisors is an integer number (44141028736).

Almost surely, 2^{1006501671620} is an apocalyptic number.

1006501671620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006501671620 is an abundant number, since it is smaller than the sum of its proper divisors (1112267707708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006501671620 is a wasteful number, since it uses less digits than its factorization.

1006501671620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25980 (or 25978 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 1006501671620 in words is "one trillion, six billion, five hundred one million, six hundred seventy-one thousand, six hundred twenty".