1054963536 has 80 divisors (see below), whose sum is σ = 3053489088. Its totient is φ = 311040000.

The previous prime is 1054963519. The next prime is 1054963571. The reversal of 1054963536 is 6353694501.

It is a super-2 number, since 2×1054963536² = 2225896124579246592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7465 + ... + 46536.

Almost surely, 2^1054963536 is an apocalyptic number.

1054963536 is a gapful number since it is divisible by the number (16) 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 1054963536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526744544).

1054963536 is an abundant number, since it is smaller than the sum of its proper divisors (1998525552).

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

1054963536 is a wasteful number, since it uses less digits than its factorization.

1054963536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54060 (or 54054 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 1054963536 is about 32480.2022161193. The cubic root of 1054963536 is about 1017.9954016747.

The spelling of 1054963536 in words is "one billion, fifty-four million, nine hundred sixty-three thousand, five hundred thirty-six".