1506290861232 has 120 divisors (see below), whose sum is σ = 4377657815440. Its totient is φ = 502096953744.

The previous prime is 1506290861189. The next prime is 1506290861237. The reversal of 1506290861232 is 2321680926051.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1506290861232 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 29 + 0 + 8 + 612 + 3 + 2 = 666.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (1506290861237) 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, 502096953743 + 502096953744 + 502096953745.

Almost surely, 2^{1506290861232} is an apocalyptic number.

1506290861232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506290861232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188828907720).

1506290861232 is an abundant number, since it is smaller than the sum of its proper divisors (2871366954208).

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

1506290861232 is an frugal number, since it uses more digits than its factorization.

1506290861232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1506290861232 in words is "one trillion, five hundred six billion, two hundred ninety million, eight hundred sixty-one thousand, two hundred thirty-two".