1301661000 has 96 divisors (see below), whose sum is σ = 4399644600. Its totient is φ = 347107200.

The previous prime is 1301660993. The next prime is 1301661007. The reversal of 1301661000 is 1661031.

1301661000 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 661 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1301660993) and next prime (1301661007).

It can be written as a sum of positive squares in 4 ways, for example, as 713210436 + 588450564 = 26706^2 + 24258^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1301661007) 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, 63315 + ... + 81314.

Almost surely, 2^1301661000 is an apocalyptic number.

1301661000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301661000 is an abundant number, since it is smaller than the sum of its proper divisors (3097983600).

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

1301661000 is a wasteful number, since it uses less digits than its factorization.

1301661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144656 (or 144639 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1301661000 is about 36078.5393274173. The cubic root of 1301661000 is about 1091.8575066657.

The spelling of 1301661000 in words is "one billion, three hundred one million, six hundred sixty-one thousand".