1087146001305 has 128 divisors (see below), whose sum is σ = 2503908556800. Its totient is φ = 434606798592.

The previous prime is 1087146001301. The next prime is 1087146001309. The reversal of 1087146001305 is 5031006417801.

1087146001305 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 14 + 600 + 1 + 30 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1087146001301) and next prime (1087146001309).

It is not a de Polignac number, because 1087146001305 - 2² = 1087146001301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1087146001305.

It is not an unprimeable number, because it can be changed into a prime (1087146001301) 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, 2095369 + ... + 2562198.

It is an arithmetic number, because the mean of its divisors is an integer number (19561785600).

Almost surely, 2^{1087146001305} is an apocalyptic number.

1087146001305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1087146001305 is an abundant number, since it is smaller than the sum of its proper divisors (1416762555495).

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

1087146001305 is a wasteful number, since it uses less digits than its factorization.

1087146001305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657620 (or 4657614 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1087146001305 in words is "one trillion, eighty-seven billion, one hundred forty-six million, one thousand, three hundred five".