1051561120 has 48 divisors (see below), whose sum is σ = 2519330688. Its totient is φ = 414695680.

The previous prime is 1051561117. The next prime is 1051561123. The reversal of 1051561120 is 211651501.

It is a happy number.

1051561120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1051561117) and next prime (1051561123).

It is a super-2 number, since 2×1051561120² = 2211561578191308800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1051561091 and 1051561100.

It is not an unprimeable number, because it can be changed into a prime (1051561123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34924 + ... + 57643.

It is an arithmetic number, because the mean of its divisors is an integer number (52486056).

Almost surely, 2^1051561120 is an apocalyptic number.

1051561120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1051561120 is an abundant number, since it is smaller than the sum of its proper divisors (1467769568).

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

1051561120 is an equidigital number, since it uses as much as digits as its factorization.

1051561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92653 (or 92645 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The square root of 1051561120 is about 32427.7831496388. The cubic root of 1051561120 is about 1016.8998269618.

It can be divided in two parts, 105156 and 1120, that added together give a square (106276 = 326²).

The spelling of 1051561120 in words is "one billion, fifty-one million, five hundred sixty-one thousand, one hundred twenty".