1506105125 has 32 divisors (see below), whose sum is σ = 2151412224. Its totient is φ = 1031184000.

The previous prime is 1506105119. The next prime is 1506105149. The reversal of 1506105125 is 5215016051.

It is not a de Polignac number, because 1506105125 - 2¹⁴ = 1506088741 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1506105094 and 1506105103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1139465 + ... + 1140785.

It is an arithmetic number, because the mean of its divisors is an integer number (67231632).

Almost surely, 2^1506105125 is an apocalyptic number.

It is an amenable number.

1506105125 is a deficient number, since it is larger than the sum of its proper divisors (645307099).

1506105125 is a wasteful number, since it uses less digits than its factorization.

1506105125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The square root of 1506105125 is about 38808.5702519431. The cubic root of 1506105125 is about 1146.2651677743.

The spelling of 1506105125 in words is "one billion, five hundred six million, one hundred five thousand, one hundred twenty-five".