1506068641 has 32 divisors (see below), whose sum is σ = 1991927808. Its totient is φ = 1102429440.

The previous prime is 1506068639. The next prime is 1506068647. The reversal of 1506068641 is 1468606051.

It is not a de Polignac number, because 1506068641 - 2¹ = 1506068639 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1506068641.

It is not an unprimeable number, because it can be changed into a prime (1506068647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155196 + ... + 1156498.

It is an arithmetic number, because the mean of its divisors is an integer number (62247744).

Almost surely, 2^1506068641 is an apocalyptic number.

1506068641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1506068641 is a deficient number, since it is larger than the sum of its proper divisors (485859167).

1506068641 is a wasteful number, since it uses less digits than its factorization.

1506068641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1506068641 is about 38808.1001982833. The cubic root of 1506068641 is about 1146.2559119626.

The spelling of 1506068641 in words is "one billion, five hundred six million, sixty-eight thousand, six hundred forty-one".